Solve x/13<4/5

Question

.(1 point)
Responses

x<4/65
x less than Start Fraction 4 over 65 End Fraction

x<13 4/5
x less than 13 Start Fraction 4 over 5 End Fraction

x<10 2/5
x less than 10 Start Fraction 2 over 5 End Fraction

x>52/5

Answer 1

To solve the inequality \( \frac{x}{13} < \frac{4}{5} \), follow these steps:

1. Multiply both sides of the inequality by 13 to eliminate the fraction (Make sure to note that multiplying by a positive number doesn't change the direction of the inequality):

   \[ x < 13 \cdot \frac{4}{5} \]

2. Now calculate \( 13 \cdot \frac{4}{5} \):

   \[ 13 \cdot \frac{4}{5} = \frac{52}{5} \]

3. Therefore, your inequality simplifies to:

   \[ x < \frac{52}{5} \]

So the solution is:

x < 52/5.